I will offer an alternative answer and explanation to Millet's, and that is maybe.
There are two physical forces acting upon water in a container. Gravity pulls the water downward. Capillary action, related to the adhesive and cohesive properties of water, pulls the water upward. In a given container, these two forces reach an equilibrium at some level, and this level is known as the perched water table (PWT). Below this level, capillary action overcomes gravity and the soil stays saturated and unaerated. Unless the water is lost from evaporation or plant uptake, the growing media stays wet and root problems can set in.
Capillary action is related to soil particle size. Smaller particle size means greater capillary action and a higher PWT. Larger particles mean that gravity can more easily overcome the capillary forces, the growing medium drains better, aeration is better, and the plant root system is healthier. Pine park can serve this purpose, but one problem is that it breaks down quickly. The beauty of CHC is that they retain the large particle size, hold lots of water, and break down into smaller particles much more slowly than pine bark or other organic materials.
If you stick a wick into a container, you are effectively lowering the PWT. Ever poke your finger into the bottom of a just-watered container of commercial growing media? The water pours out! You are lowering the PWT. The same thing happens when you set a container directly on the ground...the PWT is wicked out. This could be useful at any time, not just after repotting, if the PWT in the container is too high. But a container with CHC-based growing medium has a PWT that is so low as to render a wick useless.
Sorry for the long post. My answer would be, if using a CHC based growing medium, no wick needed. If using a growing medium which can result in high PWT in the container, a wick might be useful.
